UNIVERSAL FORMULA FOR THE HILBERT SERIES OF MINIMAL NILPOTENT ORBITS

被引：2

作者：

Matsuo, A. ^{[1
]}

Veselov, A. P. ^{[2
,3
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan

[2] Loughborough Univ Technol, Dept Math Sci, Loughborough LE11 3TU, Leics, England

[3] Moscow MV Lomonosov State Univ, Moscow 119899, Russia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 12期

关键词：

DIMENSION; IDEAL;

D O I：

10.1090/proc/13819

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the Hilbert series of the projective variety X = P(O-min), corresponding to the minimal nilpotent orbit O-min, is universal in the sense of Vogel: it is written uniformly for all simple Lie algebras in terms of Vogel's parameters alpha, beta, gamma and represents a special case of the generalized hypergeometric function F-4(3). A universal formula for the degree of X is then deduced.

引用

页码：5123 / 5130

页数：8

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